Theory on Superconductivity of CeIn3 in Heavy Fermion System
Hirono Fukazawa, Kosaku Yamada

TL;DR
This paper investigates the superconducting mechanism of CeIn3 under high pressure using a three-dimensional Hubbard model and third-order perturbation theory, proposing a d-wave pairing state influenced by antiferromagnetic spin fluctuations.
Contribution
It introduces a three-dimensional Hubbard model analysis for CeIn3's superconductivity, highlighting the role of antiferromagnetic spin fluctuations and comparing results with two-dimensional systems.
Findings
Superconductivity in CeIn3 is mediated by antiferromagnetic spin fluctuations.
The estimated transition temperature is lower than in two-dimensional systems.
The results align with differences observed between CeIn3 and CeRhIn5.
Abstract
On the basis of a three-dimensional Hubbard model, the superconducting mechanism of CeIn3 under high pressure is investigated by the third-order perturbation theory with respect to the on-site Coulomb interaction U. Here we propose the d-wave pairing state induced by antiferromagnetic spin fluctuations. The estimated superconducting transition temperature is lower by one order than that in the two-dimensional system for the same value of U/W (W=bandwidth). This result is consistent with the difference between CeIn3 and CeRhIn5.
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